395948 has 24 divisors (see below), whose sum is σ = 806400. Its totient is φ = 166608.

The previous prime is 395921. The next prime is 395953. The reversal of 395948 is 849593.

395948 is nontrivially palindromic in base 3.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 395948.

It is an unprimeable number.

395948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2123 + ... + 2301.

It is an arithmetic number, because the mean of its divisors is an integer number (33600).

2³⁹⁵⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

395948 is an abundant number, since it is smaller than the sum of its proper divisors (410452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

395948 is a wasteful number, since it uses less digits than its factorization.

395948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its digits is 38880, while the sum is 38.

The square root of 395948 is about 629.2439908334. The cubic root of 395948 is about 73.4309901880.

The spelling of 395948 in words is "three hundred ninety-five thousand, nine hundred forty-eight".